In (y=x+4) and (2x+y=10), what will be the value of (x)?
Answer and explanation
Correct answer: \(x=2\)
From the first equation, \(y=x+4\). Substituting this into \(2x+y=10\) gives \(2x+(x+4)=10\). Hence, \(3x+4=10\), so \(3x=6\) and \(x=2\). For example, \(x=3\) does not satisfy the second equation. Exam tip: After substitution, remove brackets carefully and combine like terms.
Frequently asked questions
What is the correct answer to this question?
\(x=2\)
Why is this the correct answer?
From the first equation, \(y=x+4\). Substituting this into \(2x+y=10\) gives \(2x+(x+4)=10\). Hence, \(3x+4=10\), so \(3x=6\) and \(x=2\). For example, \(x=3\) does not satisfy the second equation. Exam tip: After substitution, remove brackets carefully and combine like terms.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Pair of Linear Equations in Two Variables. Topic: Algebraic methods: Substitution method and Elimination method..
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